A particle moves under a force F = −k x. The motion is:
AUniform circular
BUniformly accelerated
CSimple harmonic
DProjectile
Answer & Solution
Correct answer: C. Simple harmonic
1. F = −k x is the linear restoring force characteristic of a spring (Hooke's law).
2. By Newton's second law, m ẍ = −k x ⇒ ẍ = −(k/m) x.
3. This is the SHM equation with angular frequency ω = √(k/m).
4. The total energy ½ k x² + ½ m ẋ² is conserved — spring PE + KE.
_Source: NCERT Class 11 Physics Ch 5, §5.8 (spring PE) + Ch 13 SHM connection_
Related questions
A crate dragged across a rough floor loses mechanical energy because friction is:Conservation of mechanical energy is the form the work-energy theorem takes when the forceCalculating work for a conservative force is easier than for a complicated path because itA force acting entirely perpendicular to an object's displacement does how much work?Mechanical energy transferred into or out of a system equals the work done by an external Winding up a toy or an old-fashioned watch stores energy by doing work against its:Which three energy examples are named together?The kinetic energy in the work-energy theorem is specifically the translational kinetic en